{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "from sklearn import datasets\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "from dnn_utils import initialize_parameters_deep, model_forward, compute_cost, model_backward, update_parameters, predict\n",
    "from plot_utils import plot_cost_accuracy, plot_decision_boundary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = datasets.make_moons(100000, noise=0.20)\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "X_val, X_test, y_val, y_test = train_test_split(X_test, y_test, test_size=0.5, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1a17566a988>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_train[:1000,0], X_train[:1000,1], s=40, c=y_train[:1000], cmap=plt.cm.Spectral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train = X_train.T\n",
    "X_val = X_val.T\n",
    "X_test = X_test.T\n",
    "y_train = y_train.reshape((1, y_train.shape[0]))\n",
    "y_val = y_val.reshape((1, y_val.shape[0]))\n",
    "y_test = y_test.reshape((1, y_test.shape[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def random_mini_batches(X, Y, mini_batch_size=32, seed=0):\n",
    "    np.random.seed(seed)            # To make your \"random\" minibatches the same as ours\n",
    "    m = X.shape[1]                  # number of training examples\n",
    "    mini_batches = []\n",
    "        \n",
    "    # Step 1: Shuffle (X, Y)\n",
    "    permutation = list(np.random.permutation(m))\n",
    "    shuffled_X = X[:, permutation]\n",
    "    shuffled_Y = Y[:, permutation].reshape((1,m))\n",
    "\n",
    "    # Step 2: Partition (shuffled_X, shuffled_Y). Minus the end case.\n",
    "    num_complete_minibatches = math.floor(m/mini_batch_size) # number of mini batches of size mini_batch_size in your partitionning\n",
    "    for k in range(0, num_complete_minibatches):\n",
    "        mini_batch_X = shuffled_X[:,k * mini_batch_size:(k + 1) * mini_batch_size]\n",
    "        mini_batch_Y = shuffled_Y[:,k * mini_batch_size:(k + 1) * mini_batch_size]\n",
    "        mini_batch = (mini_batch_X, mini_batch_Y)\n",
    "        mini_batches.append(mini_batch)\n",
    "    \n",
    "    # Handling the end case (last mini-batch < mini_batch_size)\n",
    "    if m % mini_batch_size != 0:\n",
    "        end = m - mini_batch_size * math.floor(m / mini_batch_size)\n",
    "        mini_batch_X = shuffled_X[:,num_complete_minibatches * mini_batch_size:]\n",
    "        mini_batch_Y = shuffled_Y[:,num_complete_minibatches * mini_batch_size:]\n",
    "        mini_batch = (mini_batch_X, mini_batch_Y)\n",
    "        mini_batches.append(mini_batch)\n",
    "    \n",
    "    return mini_batches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((2, 32), (1, 32))"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mini_batches = random_mini_batches(X_train, y_train)\n",
    "mini_batches[0][0].shape, mini_batches[0][1].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def build_model(X_train, y_train, X_val, y_val, layers_dims, \n",
    "                learning_rate=0.001, batch_size=32, epochs=100, activation='tanh', \n",
    "                print_cost=False):\n",
    "    seed = 10\n",
    "    # keep track of cost\n",
    "    costs = []  \n",
    "    train_accs = []\n",
    "    val_accs = []\n",
    "    # Parameters initialization.\n",
    "    parameters = initialize_parameters_deep(layers_dims)\n",
    "    # Loop (gradient descent)\n",
    "    for i in range(epochs):\n",
    "        seed = seed + 1\n",
    "        minibatches = random_mini_batches(X_train, y_train, batch_size, seed)\n",
    "        for minibatch in minibatches:\n",
    "            # Select a minibatch\n",
    "            (batch_X, batch_Y) = minibatch\n",
    "            \n",
    "            # Forward propagation: [LINEAR -> RELU]*(L-1) -> LINEAR -> SIGMOID.\n",
    "            AL, caches = model_forward(batch_X, parameters, activation)\n",
    "\n",
    "            # Compute cost.\n",
    "            cost = compute_cost(AL, batch_Y)\n",
    "\n",
    "            # Backward propagation.\n",
    "            grads = model_backward(AL, batch_Y, caches, activation)\n",
    "            \n",
    "            # Update parameters.\n",
    "            parameters = update_parameters(parameters, grads, learning_rate)\n",
    "        \n",
    "        # Record cost, accuracy\n",
    "        y_train_pred = predict(X_train, parameters, activation)\n",
    "        train_acc = np.sum((y_train_pred == y_train) / X_train.shape[1])\n",
    "        y_val_pred = predict(X_val, parameters, activation)\n",
    "        val_acc = np.sum((y_val_pred == y_val) / X_val.shape[1])\n",
    "        costs.append(cost)\n",
    "        train_accs.append(train_acc)\n",
    "        val_accs.append(val_acc)        \n",
    "        # Print the cost every 10 training example\n",
    "        if print_cost and (i + 1) % 10 == 0:\n",
    "            template = \"Cost after iteration {}: {}, Accuracy on train data: {}, Accuracy on validation data: {}\"\n",
    "            print(template.format(i + 1, cost, train_acc, val_acc))\n",
    "            \n",
    "\n",
    "    return parameters, costs, train_accs, val_accs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost after iteration 10: 0.42331686473295693, Accuracy on train data: 0.8687250000000003, Accuracy on validation data: 0.8675000000000002\n",
      "Cost after iteration 20: 0.40943414822670254, Accuracy on train data: 0.8699250000000002, Accuracy on validation data: 0.8694000000000003\n",
      "Cost after iteration 30: 0.19160446823950444, Accuracy on train data: 0.8700125000000002, Accuracy on validation data: 0.8695000000000003\n",
      "Cost after iteration 40: 0.19632098322640315, Accuracy on train data: 0.8700875000000002, Accuracy on validation data: 0.8695000000000003\n",
      "Cost after iteration 50: 0.14493257270955812, Accuracy on train data: 0.8701625000000004, Accuracy on validation data: 0.8699000000000003\n",
      "Cost after iteration 60: 0.18733959066401845, Accuracy on train data: 0.8702250000000002, Accuracy on validation data: 0.8696000000000003\n",
      "Cost after iteration 70: 0.3284563835973355, Accuracy on train data: 0.8701625000000004, Accuracy on validation data: 0.8700000000000003\n",
      "Cost after iteration 80: 0.20742320911074222, Accuracy on train data: 0.8700875000000001, Accuracy on validation data: 0.8695000000000003\n",
      "Cost after iteration 90: 0.17900158182854609, Accuracy on train data: 0.8702125000000003, Accuracy on validation data: 0.8702000000000002\n",
      "Cost after iteration 100: 0.34687400918873634, Accuracy on train data: 0.8702250000000001, Accuracy on validation data: 0.8699000000000003\n"
     ]
    }
   ],
   "source": [
    "layers_dims = [2, 3, 1]\n",
    "parameters, costs, train_accs, val_accs = build_model(X_train, y_train, X_val, y_val, layers_dims, epochs=100, print_cost=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_cost_accuracy(costs, train_accs, val_accs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_plot, y_plot = X_test[:, :1000].copy(), y_test[:, :1000].copy()\n",
    "plot_decision_boundary(lambda x: predict(x.T, parameters), X_plot, y_plot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8736000000000003"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred = predict(X_test, parameters)\n",
    "test_acc = np.sum((y_pred == y_test) / X_test.shape[1])\n",
    "test_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
